Compare 10/81 and 4/12
10/81 is smaller than 4/12
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 12 is 324
Next, find the equivalent fraction of both fractional numbers with denominator 324 - For the 1st fraction, since 81 × 4 = 324,
10/81 = 10 × 4/81 × 4 = 40/324 - Likewise, for the 2nd fraction, since 12 × 27 = 324,
4/12 = 4 × 27/12 × 27 = 108/324 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 40/324 < 108/324 or 10/81 < 4/12
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